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Finding the Fourth Proportional to 214.58, 294.19 and 210.69

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Solution

The fourth proportional to 214.58, 294.19 and 210.69 is: 288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.58 : 294.19 = 210.69 : x
  2. Step 2: Convert to fraction form
    214.58/294.19 = 210.69/x
  3. Step 3: Cross multiply
    214.58x = 294.19 × 210.69
  4. Step 4: Simplify right side
    214.58x = 61,982.89
  5. Step 5: Solve for x
    x = 61,982.89/214.58
  6. Step 6: Final answer
    x = 288.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.